Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W184516380', 'doi': 'https://doi.org/10.5281/zenodo.8898', 'title': 'On certain generalizations of the Smarandache function', 'display_name': 'On certain generalizations of the Smarandache function', 'publication_year': 1999, 'publication_date': '1999-05-01', 'ids': {'openalex': 'https://openalex.org/W184516380', 'doi': 'https://doi.org/10.5281/zenodo.8898', 'mag': '184516380'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://zenodo.org/record/8898/files/CertainGenOnSF.pdf', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2883122597', 'display_name': 'viXra', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': [], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5043717543', 'display_name': 'J. S�ndor', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'J. Sndor', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5043717543'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 16, 'citation_normalized_percentile': {'value': 0.927577, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 82, 'max': 83}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T14500', 'display_name': 'Advancements in Mathematics and Mathematical Physics', 'score': 0.9998, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T14500', 'display_name': 'Advancements in Mathematics and Mathematical Physics', 'score': 0.9998, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11166', 'display_name': 'Prime Number Theory and L-Functions', 'score': 0.9992, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T12504', 'display_name': 'Foundations of Geometric Mathematics', 'score': 0.9937, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/smarandache-function', 'display_name': 'Smarandache Function', 'score': 0.57419}], 'concepts': [{'id': 'https://openalex.org/C14036430', 'wikidata': 'https://www.wikidata.org/wiki/Q3736076', 'display_name': 'Function (biology)', 'level': 2, 'score': 0.5717939}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5494388}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.40005493}, {'id': 'https://openalex.org/C2777686260', 'wikidata': 'https://www.wikidata.org/wiki/Q144037', 'display_name': 'Calculus (dental)', 'level': 2, 'score': 0.3314149}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.06528431}, {'id': 'https://openalex.org/C71924100', 'wikidata': 'https://www.wikidata.org/wiki/Q11190', 'display_name': 'Medicine', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199343813', 'wikidata': 'https://www.wikidata.org/wiki/Q12128', 'display_name': 'Dentistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C78458016', 'wikidata': 'https://www.wikidata.org/wiki/Q840400', 'display_name': 'Evolutionary biology', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://zenodo.org/record/8898/files/CertainGenOnSF.pdf', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2883122597', 'display_name': 'viXra', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 4, 'referenced_works': ['https://openalex.org/W1555475515', 'https://openalex.org/W1694128183', 'https://openalex.org/W2276782662', 'https://openalex.org/W757380603'], 'related_works': ['https://openalex.org/W424714057', 'https://openalex.org/W421138962', 'https://openalex.org/W3103830157', 'https://openalex.org/W3091898565', 'https://openalex.org/W3028627164', 'https://openalex.org/W3020392182', 'https://openalex.org/W2969274090', 'https://openalex.org/W2963067732', 'https://openalex.org/W2952752554', 'https://openalex.org/W2949162170', 'https://openalex.org/W2921702902', 'https://openalex.org/W2292633346', 'https://openalex.org/W218451061', 'https://openalex.org/W2112509991', 'https://openalex.org/W2089573952', 'https://openalex.org/W2034447882', 'https://openalex.org/W2016315725', 'https://openalex.org/W2005402836', 'https://openalex.org/W1547470643', 'https://openalex.org/W13848755'], 'abstract_inverted_index': {'This': [0], 'arithmetical': [1], 'function': [2], 'is': [3], 'connected': [4], 'to': [5], 'the': [6], 'number': [7, 15], 'of': [8, 10], 'divisors': [9], 'n,': [11], 'and': [12], 'other': [13], 'important': [14], 'theoretic': [16], 'functions.': [17]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W184516380', 'counts_by_year': [{'year': 2019, 'cited_by_count': 1}, {'year': 2013, 'cited_by_count': 1}], 'updated_date': '2024-09-14T05:02:33.825203', 'created_date': '2016-06-24'}